Article ID Journal Published Year Pages File Type
7155704 Communications in Nonlinear Science and Numerical Simulation 2015 14 Pages PDF
Abstract
The main objective of this paper is to propose a new generalisation of the Helmholtz decomposition theorem for both fractional time and space, which leads to four equations generalising the Maxwell equations that emerge as particular case. To get these results the well-known classical vectorial operators, gradient, divergence, curl, and laplacian are generalised to fractional orders using Grünwald-Letnikov approach.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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